I had 2 apples and then I ate 1. My mom felt sorry for me and gave me 5 more apples. At school, a bully stole 4 of my apples and I gave another 2 to the bully. A little bit later, when I was digging through the trash, I found 4 half-eaten apples. At home, while doing homework, I ate 2 apples that I had found in the trash. My mom also gave me 3 bananas as a snack. How many apples did I end up with if each half-eaten apple counts as an apple? Please provide a step-by-step solution to the problem.